Given numbers are 312,611,871,109

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 312,611,871,109 is 107091192.

Find LCM of 312,611,871,109 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

13 x 24 x 47 x 67 x 109 = 107091192

Therefore, the lowest common multiple of 312,611,871,109 is 107091192.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

312 x 611 x 871 x 109 = 18098411448

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

611 : 1, 13, 47, 611

871 : 1, 13, 67, 871

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,611,871,109, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

611:13x 47

871:13x 67

109:109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 13 = 169

Therefore, the value for common factors is 169.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18098411448/(1x169)

LCM = 18098411448/169

LCM = 107091192

Thus, we can understand that the LCM of 312,611,871,109 is 107091192.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 227, 568, 336, 713
• LCM of 749, 737, 143, 250
• LCM of 855, 989, 633, 813
• LCM of 151, 287, 318, 260
• LCM of 985, 955, 979, 822

1. What is the LCM of 312, 611, 871, 109?

Answer: LCM of 312, 611, 871, 109 is 107091192.

2. How to calculate the LCM of 312, 611, 871, 109?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 312, 611, 871, 109.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.